CANKIRI KARATEKIN UNIVERSITY Bologna Information System


  • Course Information
  • Course Title Code Semester Laboratory+Practice (Hour) Pool Type ECTS
    Generalized Analytic Functions II MAT572 FALL-SPRING 3+0 E 6
    Learning Outcomes
    1-Sorts basic properties of singualities and its types in C and C^2.
    2-Applies the knowledge of generalized analytic functions and some of their types.
    3-Applies some integrals formulas nad solves some integrals in C^2 .
  • ECTS / WORKLOAD
  • ActivityPercentage

    (100)

    NumberTime (Hours)Total Workload (hours)
    Course Duration (Weeks x Course Hours)14342
    Classroom study (Pre-study, practice)14570
    Assignments2021224
    Short-Term Exams (exam + preparation) 0000
    Midterm exams (exam + preparation)3011616
    Project0000
    Laboratory 0000
    Final exam (exam + preparation) 5011818
    Other 0000
    Total Workload (hours)   170
    Total Workload (hours) / 30 (s)     5,67 ---- (6)
    ECTS Credit   6
  • Course Content
  • Week Topics Study Metarials
    1 Singulaity and its types in C (Complex plane) R1
    2 Singulaity and its types in C^2 R1
    3 Generalized analytic functions and certain systems in C^2 R1
    4 Hölder Space and basic definitions R1
    5 Some special definitions in Hölder space R1
    6 Certain Homogenous Linear cauchy Riemann Sysytems R1
    7 Certain non-homogenous Linear cauchy Riemann Sysytems R1
    8 Certain integral formulas and operations in C R1
    9 Certain integral formulas and operations in C^2 R1
    10 Integrals, which have singulaties in C and C^2. R1
    11 Integrals, which have not singulaties in C and C^2. R1
    12 Some special types integrals in C and C^2 R1
    13 Some generalized Cauchy integral formulas R1
    14 Certain integrals in Hölder space R1
    Prerequisites MAt519 Functions with Ccomplex Variable I MAt520 Functions with Ccomplex Variable II
    Language of Instruction Turkish
    Responsible Prof. Dr. Hüseyin IRMAK
    Instructors

    1-)10143 10143 10143

    Assistants The related lecturers of the department
    Resources R1: Lecture notes R2: Hayman, W.K., (1994), Mutivalent Functions, Cambridge Univ. Press, Cambridge. R3: Nehari, Z., (1958), Comformal Mapping, Dover Publ. New York. R4: Tutsche, W., (2000), Funktionentheorie 2 Distributionentheeonetische Methoden, Lecture Notes, Graz, Austraila.
    Supplementary Book R5: Vekua, I.N., (1963), Verallgemeinerte analytische Funktionen, Academia Verlag, Berlin. R6: Pommerenke, C., (1975), Univalent Functions, Vanlenhoeck & Ruprecht, Götingen.
    Goals To teach Singularity and its types in C^2. To introduce generalized analytic functions, Integrals formulas and integrals in C^2.
    Content Singularity and its types in C^2, Generalized analytic functions, Integrals formulas, and integrals in C^2.
  • Program Learning Outcomes
  • Program Learning Outcomes Level of Contribution
    1 Improve and deepen the gained knowledge in Mathematics in the speciality level 5
    2 Use gained speciality level theoretical and applied knowledge in mathematics 4
    3 Perform interdisciplinary studies by relating the gained knowledge in Mathematics with other fields. 2
    4 Analyze mathematical problems by using the gained research methods 4
    5 Conduct independently a study requiring speciliaty in Mathematics 3
    6 Develop different approaches and produce solutions by taking responsibility to problems encountered in applications 3
    7 Evaluate the gained speciality level knowledge and skills with a critical approach and guide the process of learning 4
    8 Transfer recent and own research related to mathematics to the expert and non-expert shareholders written, verbally and visually 5
    9 Uses computer software and information technologies related to the field of mathematics at an advanced level. -
    10 Have the awareness of acting compatible with social, scientific, cultural and ethical values during the process of collecting, interpreting, applying and informing data related to Mathematics 4
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